and \(\partial f(u,x) = \emptyset \)  for \(u\ne 0\) . Similarly, for \(x\in \operatorname{dom}f_0\)  and \(u \in -p^\nu + \Delta \) , one obtains via [1]} that
\(\partial f^\nu (u,x) = \big ( F(x) + \theta ^\nu u + N_{\Delta }(p^\nu +u) \big ) \times \Big ( \mathop {\sum }\nolimits _{i=1}^s (p_i^\nu + u_i) \nabla f_i(x) + \partial f_0(x) \Big ).\) 
